Explain why S is not a basis for R2. S = {(-3, 7), (0, 0)} O sis linearly dependent. O s does not span R2. O S is linearly dependent and does not span R2.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 70E: Find a basis for R3 that includes the vector (1,0,2) and (0,1,1).
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Explain why S is not a basis for R2.
S = {(-3, 7), (0, 0)}
S is linearly dependent.
S does not span R2.
O S is linearly dependent and does not span R2.
Transcribed Image Text:Explain why S is not a basis for R2. S = {(-3, 7), (0, 0)} S is linearly dependent. S does not span R2. O S is linearly dependent and does not span R2.
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